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Finding the Fourth Proportional to 120.09, 179.96 and 51.52

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Solution

The fourth proportional to 120.09, 179.96 and 51.52 is: 77.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 179.96 = 51.52 : x
  2. Step 2: Convert to fraction form
    120.09/179.96 = 51.52/x
  3. Step 3: Cross multiply
    120.09x = 179.96 × 51.52
  4. Step 4: Simplify right side
    120.09x = 9,271.54
  5. Step 5: Solve for x
    x = 9,271.54/120.09
  6. Step 6: Final answer
    x = 77.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.